Topological Baryogenesis and Axion Synchronization: A Unified Framework from Quantum Geometry

Abstract

A framework is proposed for cosmological baryogenesis driven by non-perturbative topological fluctuations (quantum surgery of 1-handles) in the early Universe at the Planck epoch. Relying on the Ashtekar-Lewandowski measure and quantum geometry foam dynamics, it is shown that the baryon-to-entropy ratio is not an independent free parameter of grand unified theories, but a tightly constrained derived output governed by the Immirzi parameter, decay constant, and initial vacuum misalignment angle. The model reproduces the observed asymmetry value through handle-number balancing and inflationary dilution, maintaining consistency with dark matter density and cosmic microwave background birefringence targets. Higher-order multi-handle channels are exponentially suppressed within the dilute approximation and do not destabilize the leading result.